Open Access
2013 Nonuniform Continuity of the Osmosis K(2, 2) Equation
Aiyong Chen, Yong Ding, Wentao Huang
Abstr. Appl. Anal. 2013: 1-8 (2013). DOI: 10.1155/2013/717042


The qualitative theory of differential equations is applied to the osmosis K(2, 2) equation. The parametric conditions of existence of the smooth periodic travelling wave solutions are given. We show that the solution map is not uniformly continuous by using the theory of Himonas and Misiolek. The proof relies on a construction of smooth periodic travelling waves with small amplitude.


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Aiyong Chen. Yong Ding. Wentao Huang. "Nonuniform Continuity of the Osmosis K(2, 2) Equation." Abstr. Appl. Anal. 2013 1 - 8, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 07095272
MathSciNet: MR3132572
Digital Object Identifier: 10.1155/2013/717042

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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